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20334314140344 = 2332301867935581
BaseRepresentation
bin1001001111110011100111…
…00100100011001010111000
32122222221102022111110202200
410213321303210203022320
510131124133404442334
6111125242134230200
74166051155231611
oct447716344431270
978887368443680
1020334314140344
11652a809243906
122344b147b5360
13b466962081a9
14504286772c08
15253e1ec97799
hex127e739232b8

20334314140344 has 48 divisors (see below), whose sum is σ = 55072342099320. Its totient is φ = 6778075014720.

The previous prime is 20334314140321. The next prime is 20334314140367. The reversal of 20334314140344 is 44304141343302.

20334314140344 is a `hidden beast` number, since 2 + 0 + 33 + 43 + 141 + 403 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (20334314140321) and next prime (20334314140367).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20334314140299 and 20334314140308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21266634 + ... + 22202214.

Almost surely, 220334314140344 is an apocalyptic number.

20334314140344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20334314140344 is an abundant number, since it is smaller than the sum of its proper divisors (34738027958976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20334314140344 is a wasteful number, since it uses less digits than its factorization.

20334314140344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237460 (or 1237453 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 20334314140344 its reverse (44304141343302), we get a palindrome (64638455483646).

The spelling of 20334314140344 in words is "twenty trillion, three hundred thirty-four billion, three hundred fourteen million, one hundred forty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 301867 603734 905601 935581 1207468 1811202 1871162 2414936 2716803 2806743 3622404 3742324 5433606 5613486 7244808 7484648 8420229 10867212 11226972 16840458 21734424 22453944 33680916 67361832 282421029727 564842059454 847263089181 1129684118908 1694526178362 2259368237816 2541789267543 3389052356724 5083578535086 6778104713448 10167157070172 20334314140344